﻿197:@0.890754:0.963104:0.932133:0.963104:0.932133:0.941283:0.890754:0.941283:0.000000:0.000000:0.000000
Matemática:@0.795130:0.956142:0.879896:0.956142:0.879896:0.943479:0.795130:0.943479:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
9.º EGB:@0.829358:0.967458:0.879897:0.967458:0.879897:0.954794:0.829358:0.954794:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
DUA:@0.748004:0.068322:0.791647:0.068322:0.791647:0.048070:0.748004:0.048070:0.000000:0.000000:0.000000
. Representación:@0.791647:0.067693:0.923937:0.067693:0.923937:0.050792:0.791647:0.050792:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2.  :@0.096354:0.103970:0.118209:0.103970:0.118209:0.087069:0.096354:0.087069:0.000000:0.000000:0.000000:0.000000
Si se tiene un recipiente con forma de prisma hexagonal, que tiene una base de :@0.120089:0.103970:0.716518:0.103970:0.716518:0.087581:0.120089:0.087581:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
igual área que la del recipiente del ejemplo anterior, ¿cuál deberá ser su altura :@0.120089:0.120566:0.716444:0.120566:0.716444:0.104177:0.120089:0.104177:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
para que almacene 2 litros de líquido?:@0.120089:0.137163:0.398600:0.137163:0.398600:0.120774:0.120089:0.120774:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Solución :@0.096354:0.168018:0.163486:0.168018:0.163486:0.151380:0.096354:0.151380:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Dos litros equivalen a 2 000 cm³, como el área de la :@0.096354:0.191737:0.502904:0.191737:0.502904:0.175348:0.096354:0.175348:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
base del ejemplo anterior es de 100 cm², entonces, :@0.096354:0.208334:0.502831:0.208334:0.502831:0.191945:0.096354:0.191945:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
aplicamos la fórmula del volumen del prisma:@0.096354:0.224930:0.425816:0.224930:0.425816:0.208541:0.096354:0.208541:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
V:@0.097982:0.248028:0.107104:0.248028:0.107104:0.231667:0.097982:0.231667:0.000000
A h:@0.126877:0.248028:0.160949:0.248028:0.160949:0.231667:0.126877:0.231667:0.000000:0.000000:0.000000
h:@0.189973:0.268773:0.199482:0.268773:0.199482:0.252412:0.189973:0.252412:0.000000
h:@0.099143:0.289519:0.108652:0.289519:0.108652:0.273157:0.099143:0.273157:0.000000
cm:@0.147368:0.289519:0.169739:0.289519:0.169739:0.273157:0.147368:0.273157:0.000000:0.000000
B:@0.135623:0.250032:0.140749:0.250032:0.140749:0.240549:0.135623:0.240549:0.000000
=:@0.112745:0.247613:0.122862:0.247613:0.122862:0.230671:0.112745:0.230671:0.000000
⋅:@0.145104:0.247613:0.149711:0.247613:0.149711:0.230671:0.145104:0.230671:0.000000
=:@0.143003:0.268358:0.153120:0.268358:0.153120:0.251416:0.143003:0.251416:0.000000
⋅:@0.183636:0.268358:0.188243:0.268358:0.188243:0.251416:0.183636:0.251416:0.000000
=:@0.111584:0.289104:0.121701:0.289104:0.121701:0.272162:0.111584:0.272162:0.000000
2 000 100:@0.098869:0.268773:0.181683:0.268773:0.181683:0.252384:0.098869:0.252384:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
20 :@0.124631:0.289519:0.147352:0.289519:0.147352:0.273130:0.124631:0.273130:0.000000:0.000000:0.000000
 :@0.108083:0.268773:0.112119:0.268773:0.112119:0.252384:0.108083:0.252384:0.000000
       :@0.201899:0.272357:0.230149:0.272357:0.230149:0.255968:0.201899:0.255968:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
V:@0.231770:0.227356:0.240892:0.227356:0.240892:0.210995:0.231770:0.210995:0.000000
A h:@0.260665:0.227356:0.294737:0.227356:0.294737:0.210995:0.260665:0.210995:0.000000:0.000000:0.000000
h:@0.323761:0.248102:0.333270:0.248102:0.333270:0.231741:0.323761:0.231741:0.000000
h:@0.232931:0.268847:0.242440:0.268847:0.242440:0.252486:0.232931:0.252486:0.000000
cm:@0.281156:0.268847:0.303527:0.268847:0.303527:0.252486:0.281156:0.252486:0.000000:0.000000
B:@0.269411:0.229360:0.274537:0.229360:0.274537:0.219878:0.269411:0.219878:0.000000
=:@0.246534:0.226942:0.256651:0.226942:0.256651:0.209999:0.246534:0.209999:0.000000
⋅:@0.278893:0.226942:0.283500:0.226942:0.283500:0.209999:0.278893:0.209999:0.000000
=:@0.276792:0.247687:0.286909:0.247687:0.286909:0.230745:0.276792:0.230745:0.000000
⋅:@0.317425:0.247687:0.322032:0.247687:0.322032:0.230745:0.317425:0.230745:0.000000
=:@0.245373:0.268433:0.255490:0.268433:0.255490:0.251490:0.245373:0.251490:0.000000
2 000 100:@0.232658:0.248102:0.315472:0.248102:0.315472:0.231713:0.232658:0.231713:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
20 :@0.258420:0.268847:0.281141:0.268847:0.281141:0.252458:0.258420:0.252458:0.000000:0.000000:0.000000
 :@0.241872:0.248102:0.245908:0.248102:0.245908:0.231713:0.241872:0.231713:0.000000
La altura del prisma hexagonal deberá ser de 20 cm.:@0.096359:0.288953:0.477293:0.288953:0.477293:0.272564:0.096359:0.272564:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3. :@0.096359:0.316240:0.114400:0.316240:0.114400:0.299339:0.096359:0.299339:0.000000:0.000000:0.000000
Calcula el volumen de los cuerpos geométricos.:@0.120094:0.316240:0.470435:0.316240:0.470435:0.299851:0.120094:0.299851:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a)  :@0.103479:0.344157:0.123967:0.344157:0.123967:0.328793:0.103479:0.328793:0.000000:0.000000:0.000000:0.000000
h:@0.286060:0.384602:0.295721:0.384602:0.295721:0.368267:0.286060:0.368267:0.000000
 = 12 :@0.295721:0.384602:0.336574:0.384602:0.336574:0.368280:0.295721:0.368280:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cm:@0.336574:0.384602:0.358846:0.384602:0.358846:0.368267:0.336574:0.368267:0.000000:0.000000
4,5 :@0.154178:0.467950:0.180322:0.467950:0.180322:0.451628:0.154178:0.451628:0.000000:0.000000:0.000000:0.000000
cm:@0.180322:0.467950:0.202594:0.467950:0.202594:0.451614:0.180322:0.451614:0.000000:0.000000
4,5 :@0.269012:0.469647:0.295156:0.469647:0.295156:0.453325:0.269012:0.453325:0.000000:0.000000:0.000000:0.000000
cm:@0.295156:0.469647:0.317428:0.469647:0.317428:0.453312:0.295156:0.453312:0.000000:0.000000
b)  :@0.412145:0.344157:0.433823:0.344157:0.433823:0.328793:0.412145:0.328793:0.000000:0.000000:0.000000:0.000000
10 :@0.518690:0.469639:0.535877:0.469639:0.535877:0.457855:0.518690:0.457855:0.000000:0.000000:0.000000
cm:@0.535877:0.469639:0.552966:0.469639:0.552966:0.457939:0.535877:0.457939:0.000000:0.000000
h:@0.604178:0.411324:0.611591:0.411324:0.611591:0.399624:0.604178:0.399624:0.000000
 = 15 :@0.611591:0.411324:0.642938:0.411324:0.642938:0.399540:0.611591:0.399540:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cm:@0.642938:0.411324:0.660027:0.411324:0.660027:0.399624:0.642938:0.399624:0.000000:0.000000
ap :@0.507987:0.430047:0.525048:0.430047:0.525048:0.418347:0.507987:0.418347:0.000000:0.000000:0.000000
= 6,9 :@0.525048:0.430047:0.556325:0.430047:0.556325:0.418263:0.525048:0.418263:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cm:@0.556325:0.430047:0.573415:0.430047:0.573415:0.418347:0.556325:0.418347:0.000000:0.000000
Solución:@0.096359:0.527183:0.160137:0.527183:0.160137:0.510545:0.096359:0.510545:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a) :@0.096359:0.550902:0.115082:0.550902:0.115082:0.534001:0.096359:0.534001:0.000000:0.000000:0.000000
Se trata de una pirámide cuadrangular. Reemplazamos los datos conocidos :@0.120094:0.550902:0.716484:0.550902:0.716484:0.534513:0.120094:0.534513:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en la fórmula  :@0.120094:0.567498:0.221004:0.567498:0.221004:0.551109:0.120094:0.551109:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.233362:0.600706:0.243479:0.600706:0.243479:0.585133:0.233362:0.585133:0.000000
⋅:@0.280997:0.591744:0.285604:0.591744:0.285604:0.576171:0.280997:0.576171:0.000000
V:@0.218804:0.600028:0.227926:0.600028:0.227926:0.583667:0.218804:0.583667:0.000000
A:@0.249695:0.591070:0.259591:0.591070:0.259591:0.574709:0.249695:0.574709:0.000000
h:@0.287343:0.591070:0.296852:0.591070:0.296852:0.574709:0.287343:0.574709:0.000000
3:@0.268178:0.610515:0.277171:0.610515:0.277171:0.594126:0.268178:0.594126:0.000000
base:@0.258229:0.593074:0.276982:0.593074:0.276982:0.583591:0.258229:0.583591:0.000000:0.000000:0.000000:0.000000
cm:@0.282378:0.630729:0.305523:0.630729:0.310327:0.614340:0.287182:0.614340:0.000000:0.000000
cm:@0.351960:0.630729:0.375105:0.630729:0.379910:0.614340:0.356764:0.614340:0.000000:0.000000
cm:@0.419293:0.640355:0.442438:0.640355:0.447242:0.623966:0.424097:0.623966:0.000000:0.000000
V=:@0.222612:0.640355:0.247673:0.640355:0.247673:0.623966:0.222612:0.623966:0.000000:0.000000
4,5:@0.260204:0.630729:0.281027:0.630729:0.281027:0.614340:0.260204:0.614340:0.000000:0.000000:0.000000
12:@0.327741:0.630729:0.345524:0.630729:0.345524:0.614340:0.327741:0.614340:0.000000:0.000000
3:@0.310875:0.651278:0.319868:0.651278:0.319868:0.634889:0.310875:0.634889:0.000000
=81:@0.384952:0.640355:0.417606:0.640355:0.417606:0.623966:0.384952:0.623966:0.000000:0.000000:0.000000
2:@0.314279:0.621182:0.319491:0.621182:0.319491:0.611684:0.314279:0.611684:0.000000
3:@0.444742:0.632692:0.449953:0.632692:0.449953:0.623194:0.444742:0.623194:0.000000
(:@0.253027:0.633861:0.259164:0.633861:0.259164:0.613927:0.253027:0.613927:0.000000
):@0.307886:0.633861:0.314023:0.633861:0.314023:0.613927:0.307886:0.613927:0.000000
⋅:@0.322759:0.631406:0.327366:0.631406:0.327366:0.615834:0.322759:0.615834:0.000000
b) :@0.096357:0.667213:0.116388:0.667213:0.116388:0.650313:0.096357:0.650313:0.000000:0.000000:0.000000
Es un prisma pentagonal, por tanto, reemplazamos los datos en la fórmula:@0.120092:0.667213:0.662764:0.667213:0.662764:0.650824:0.120092:0.650824:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.233362:0.695184:0.243479:0.695184:0.243479:0.679611:0.233362:0.679611:0.000000
⋅:@0.279541:0.695184:0.284148:0.695184:0.284148:0.679611:0.279541:0.679611:0.000000
V:@0.218809:0.694507:0.227931:0.694507:0.227931:0.678145:0.218809:0.678145:0.000000
A:@0.248238:0.694507:0.258133:0.694507:0.258133:0.678145:0.248238:0.678145:0.000000
h:@0.285867:0.694507:0.295376:0.694507:0.295376:0.678145:0.285867:0.678145:0.000000
base:@0.256763:0.696510:0.275517:0.696510:0.275517:0.687028:0.256763:0.687028:0.000000:0.000000:0.000000:0.000000
    :@0.299063:0.700793:0.314321:0.700793:0.314321:0.683893:0.299063:0.683893:0.000000:0.000000:0.000000:0.000000
V:@0.224528:0.732783:0.233908:0.732783:0.238501:0.717113:0.229122:0.717113:0.000000
Pap:@0.254003:0.724263:0.290932:0.724263:0.295525:0.708594:0.258597:0.708594:0.000000:0.000000:0.000000
h:@0.300560:0.732783:0.310437:0.732783:0.315030:0.717113:0.305153:0.717113:0.000000
cm:@0.363923:0.724263:0.387068:0.724263:0.391661:0.708594:0.368516:0.708594:0.000000:0.000000
cm:@0.420035:0.724263:0.443180:0.724263:0.447773:0.708594:0.424628:0.708594:0.000000:0.000000
cm:@0.472286:0.732783:0.495430:0.732783:0.500024:0.717113:0.476879:0.717113:0.000000:0.000000
cm:@0.569822:0.732783:0.592967:0.732783:0.597560:0.717113:0.574415:0.717113:0.000000:0.000000
2:@0.270058:0.743758:0.279051:0.743758:0.279051:0.728088:0.270058:0.728088:0.000000
510:@0.329063:0.724312:0.361717:0.724312:0.361717:0.708642:0.329063:0.708642:0.000000:0.000000:0.000000
6,9:@0.397006:0.724312:0.417848:0.724312:0.417848:0.708642:0.397006:0.708642:0.000000:0.000000:0.000000
2:@0.382669:0.743758:0.391662:0.743758:0.391662:0.728088:0.382669:0.728088:0.000000
15:@0.453081:0.732832:0.470864:0.732832:0.470864:0.717162:0.453081:0.717162:0.000000:0.000000
 = 2 587,5:@0.497363:0.732832:0.565766:0.732832:0.565766:0.717162:0.497363:0.717162:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.595210:0.725173:0.600422:0.725173:0.600422:0.716092:0.595210:0.716092:0.000000
=:@0.241631:0.733513:0.251747:0.733513:0.251747:0.717940:0.241631:0.717940:0.000000
⋅:@0.267964:0.724994:0.272571:0.724994:0.272571:0.709421:0.267964:0.709421:0.000000
⋅=:@0.296177:0.733513:0.325034:0.733513:0.325034:0.717940:0.296177:0.717940:0.000000:0.000000
⋅:@0.338947:0.724994:0.291993:0.724994:0.291993:0.709421:0.338947:0.709421:0.000000
⋅:@0.390508:0.724994:0.343554:0.724994:0.343554:0.709421:0.390508:0.709421:0.000000
⋅:@0.448094:0.733513:0.452701:0.733513:0.452701:0.717940:0.448094:0.717940:0.000000
4.  :@0.096366:0.767314:0.118221:0.767314:0.118221:0.750414:0.096366:0.750414:0.000000:0.000000:0.000000:0.000000
Calcula la longitud de la diagonal de un cubo, cuyo volumen es de 300 dm3.:@0.120100:0.767314:0.676208:0.767314:0.676208:0.750926:0.120100:0.750926:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Solución:@0.096366:0.798170:0.160144:0.798170:0.160144:0.781532:0.096366:0.781532:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
V:@0.097982:0.833611:0.107104:0.833611:0.107104:0.817249:0.097982:0.817249:0.000000
l:@0.126047:0.833611:0.129843:0.833611:0.129843:0.817249:0.126047:0.817249:0.000000
AB:@0.199389:0.833611:0.218020:0.833611:0.218020:0.817249:0.199389:0.817249:0.000000:0.000000
AC:@0.248591:0.833611:0.268290:0.833611:0.268290:0.817249:0.248591:0.817249:0.000000:0.000000
BC:@0.292615:0.833611:0.311429:0.833611:0.311429:0.817249:0.292615:0.817249:0.000000:0.000000
DB:@0.382929:0.833611:0.403291:0.833611:0.403291:0.817249:0.382929:0.817249:0.000000:0.000000
AB:@0.433863:0.833611:0.452493:0.833611:0.452493:0.817249:0.433863:0.817249:0.000000:0.000000
AD:@0.477002:0.833611:0.498322:0.833611:0.498322:0.817249:0.477002:0.817249:0.000000:0.000000
l:@0.099125:0.859183:0.102921:0.859183:0.102921:0.842822:0.099125:0.842822:0.000000
=:@0.112743:0.833196:0.122859:0.833196:0.122859:0.816254:0.112743:0.816254:0.000000
=:@0.221945:0.833196:0.232062:0.833196:0.232062:0.816254:0.221945:0.816254:0.000000
+:@0.279903:0.833196:0.290020:0.833196:0.290020:0.816254:0.279903:0.816254:0.000000
=:@0.407220:0.833196:0.417337:0.833196:0.417337:0.816254:0.407220:0.816254:0.000000
+:@0.463185:0.833196:0.473301:0.833196:0.473301:0.816254:0.463185:0.816254:0.000000
=:@0.107310:0.858768:0.117427:0.858768:0.117427:0.841826:0.107310:0.841826:0.000000
3:@0.131068:0.825950:0.136280:0.825950:0.136280:0.816452:0.131068:0.816452:0.000000
2:@0.270011:0.825950:0.275222:0.825950:0.275222:0.816452:0.270011:0.816452:0.000000
2:@0.313145:0.825950:0.318357:0.825950:0.318357:0.816452:0.313145:0.816452:0.000000
2:@0.453294:0.825950:0.458506:0.825950:0.458506:0.816452:0.453294:0.816452:0.000000
2:@0.499306:0.825950:0.504518:0.825950:0.504518:0.816452:0.499306:0.816452:0.000000
300         :@0.132847:0.859189:0.198224:0.859189:0.198224:0.842800:0.132847:0.842800:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
               :@0.138928:0.833617:0.199463:0.833617:0.199463:0.817228:0.138928:0.817228:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
               :@0.322468:0.833617:0.383003:0.833617:0.383003:0.817228:0.322468:0.817228:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.150647:0.859189:0.159639:0.859189:0.159639:0.842800:0.150647:0.842800:0.000000
6 7:@0.246563:0.859189:0.269321:0.859189:0.269321:0.842800:0.246563:0.842800:0.000000:0.000000:0.000000
6 7               :@0.292263:0.859189:0.380897:0.859189:0.380897:0.842800:0.292263:0.842800:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
9 5:@0.430670:0.859189:0.453750:0.859189:0.453750:0.842800:0.430670:0.842800:0.000000:0.000000:0.000000
6 7:@0.476121:0.859189:0.498879:0.859189:0.498879:0.842800:0.476121:0.842800:0.000000:0.000000:0.000000
67 dm:@0.120598:0.879935:0.173065:0.879935:0.173065:0.863546:0.120598:0.863546:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.122431:0.852196:0.127642:0.852196:0.127642:0.842698:0.122431:0.842698:0.000000
2:@0.269383:0.851530:0.274594:0.851530:0.274594:0.842032:0.269383:0.842032:0.000000
2:@0.315081:0.851530:0.320293:0.851530:0.320293:0.842032:0.315081:0.842032:0.000000
2:@0.453237:0.851527:0.458449:0.851527:0.458449:0.842029:0.453237:0.842029:0.000000
2:@0.498935:0.851527:0.504147:0.851527:0.504147:0.842029:0.498935:0.842029:0.000000
AB:@0.198182:0.859189:0.216812:0.859189:0.216812:0.842828:0.198182:0.842828:0.000000:0.000000
DB:@0.380836:0.859189:0.401199:0.859189:0.401199:0.842828:0.380836:0.842828:0.000000:0.000000
l:@0.099134:0.879935:0.102930:0.879935:0.102930:0.863573:0.099134:0.863573:0.000000
=:@0.220745:0.858774:0.230862:0.858774:0.230862:0.841832:0.220745:0.841832:0.000000
+:@0.279272:0.858774:0.289388:0.858774:0.289388:0.841832:0.279272:0.841832:0.000000
=:@0.405127:0.858774:0.415244:0.858774:0.415244:0.841832:0.405127:0.841832:0.000000
+:@0.463138:0.858774:0.473254:0.858774:0.473254:0.841832:0.463138:0.841832:0.000000
=:@0.107301:0.879520:0.117417:0.879520:0.117417:0.862578:0.107301:0.862578:0.000000
,:@0.255772:0.859189:0.258978:0.859189:0.258978:0.842800:0.255772:0.842800:0.000000
,:@0.301473:0.859189:0.304679:0.859189:0.304679:0.842800:0.301473:0.842800:0.000000
,:@0.439889:0.859189:0.443095:0.859189:0.443095:0.842800:0.439889:0.842800:0.000000
,:@0.485331:0.859189:0.488538:0.859189:0.488538:0.842800:0.485331:0.842800:0.000000
,:@0.129807:0.879935:0.133013:0.879935:0.133013:0.863546:0.129807:0.863546:0.000000
      :@0.172946:0.879935:0.197160:0.879935:0.197160:0.863546:0.172946:0.863546:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 dm                        :@0.255760:0.879935:0.381768:0.879935:0.381768:0.863546:0.255760:0.863546:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 dm:@0.447628:0.879935:0.476799:0.879935:0.476799:0.863546:0.447628:0.863546:0.000000:0.000000:0.000000
AB:@0.197123:0.879935:0.215753:0.879935:0.215753:0.863573:0.197123:0.863573:0.000000:0.000000
DB:@0.381565:0.879935:0.401928:0.879935:0.401928:0.863573:0.381565:0.863573:0.000000:0.000000
=:@0.219697:0.879520:0.229814:0.879520:0.229814:0.862578:0.219697:0.862578:0.000000
=:@0.405853:0.879520:0.415970:0.879520:0.415970:0.862578:0.405853:0.862578:0.000000
95:@0.232725:0.879935:0.255797:0.879935:0.255797:0.863546:0.232725:0.863546:0.000000:0.000000
116:@0.417739:0.879935:0.446836:0.879935:0.446836:0.863546:0.417739:0.863546:0.000000:0.000000:0.000000
,:@0.241939:0.879935:0.245145:0.879935:0.245145:0.863546:0.241939:0.863546:0.000000
,:@0.432702:0.879935:0.435908:0.879935:0.435908:0.863546:0.432702:0.863546:0.000000
A:@0.574967:0.866285:0.584194:0.866285:0.584194:0.852684:0.574967:0.852684:0.000000
D:@0.587953:0.793925:0.597994:0.793925:0.597994:0.780324:0.587953:0.780324:0.000000
C:@0.543460:0.900564:0.552205:0.900564:0.552205:0.886963:0.543460:0.886963:0.000000
B:@0.658605:0.900564:0.666776:0.900564:0.666776:0.886963:0.658605:0.886963:0.000000
h:@0.537600:0.240018:0.545968:0.240018:0.545968:0.226416:0.537600:0.226416:0.000000
A:@0.608659:0.271339:0.617886:0.271339:0.617886:0.257738:0.608659:0.257738:0.000000
B:@0.617885:0.271971:0.624240:0.271971:0.624240:0.261392:0.617885:0.261392:0.000000
Matemática :@0.755005:0.140329:0.844044:0.140329:0.844044:0.124964:0.755005:0.124964:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y gastronomía:@0.755005:0.155416:0.859121:0.155416:0.859121:0.140052:0.755005:0.140052:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En la cocina, el cálculo :@0.755005:0.174062:0.907284:0.174062:0.907284:0.159163:0.755005:0.159163:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
del volumen es :@0.755005:0.189150:0.860813:0.189150:0.860813:0.174251:0.755005:0.174251:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
fundamental para medir :@0.755005:0.204237:0.920954:0.204237:0.920954:0.189338:0.755005:0.189338:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ingredientes y seguir :@0.755005:0.219325:0.897717:0.219325:0.897717:0.204426:0.755005:0.204426:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
recetas con precisión. :@0.755005:0.234412:0.902541:0.234412:0.902541:0.219513:0.755005:0.219513:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Utensilios como tazas :@0.755005:0.352611:0.903146:0.352611:0.903146:0.337712:0.755005:0.337712:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
medidoras y cucharas :@0.755005:0.367699:0.903883:0.367699:0.903883:0.352800:0.755005:0.352800:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
se usan para garantizar las :@0.755005:0.382787:0.932479:0.382787:0.932479:0.367888:0.755005:0.367888:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
proporciones corrrectas.:@0.755005:0.397874:0.916546:0.397874:0.916546:0.382975:0.755005:0.382975:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Interdisciplinariedad:@0.750200:0.112247:0.907406:0.112247:0.907406:0.095346:0.750200:0.095346:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
©:@0.937227:0.297801:0.937227:0.292693:0.925145:0.292693:0.925145:0.297801:0.000000
Shutterstock:@0.937227:0.292693:0.937227:0.254975:0.925316:0.254975:0.925316:0.292693:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para reforzar lo aprendido, :@0.755425:0.484061:0.932932:0.484061:0.932932:0.469162:0.755425:0.469162:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ingresa a: :@0.755425:0.499148:0.821765:0.499148:0.821765:0.484249:0.755425:0.484249:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
lynk.ec/9mt29:@0.755425:0.514236:0.850579:0.514236:0.850579:0.499111:0.755425:0.499111:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Digital:@0.807197:0.451620:0.857667:0.451620:0.857667:0.434719:0.807197:0.434719:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Involúcrate en la Cruz :@0.755005:0.676231:0.902710:0.676231:0.902710:0.661332:0.755005:0.661332:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Roja y en saber sobre :@0.755005:0.691318:0.899926:0.691318:0.899926:0.676419:0.755005:0.676419:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
primeros auxilios. Estas :@0.755005:0.706406:0.910800:0.706406:0.910800:0.691507:0.755005:0.691507:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
acciones promuevan el :@0.755005:0.721493:0.913883:0.721493:0.913883:0.706594:0.755005:0.706594:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
bienestar social y la :@0.755005:0.736581:0.887449:0.736581:0.887449:0.721682:0.755005:0.721682:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
participación ciudadana.:@0.755005:0.751669:0.919078:0.751669:0.919078:0.736770:0.755005:0.736770:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Seguridad vial:@0.789608:0.643788:0.898165:0.643788:0.898165:0.626888:0.789608:0.626888:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La integridad empieza :@0.751443:0.836608:0.903687:0.836608:0.903687:0.821709:0.751443:0.821709:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cuando cumples  lo que :@0.751443:0.851696:0.916588:0.851696:0.916588:0.836797:0.751443:0.836797:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
prometes . Ser fiable con :@0.751443:0.866783:0.919619:0.866783:0.919619:0.851884:0.751443:0.851884:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la palabra dada genera :@0.751443:0.881871:0.907408:0.881871:0.907408:0.866972:0.751443:0.866972:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
confianza en las :@0.751443:0.896959:0.861154:0.896959:0.861154:0.882060:0.751443:0.882060:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
relaciones humanas.:@0.751443:0.912046:0.887153:0.912046:0.887153:0.897147:0.751443:0.897147:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
   Ética e integridad:@0.766525:0.804166:0.909376:0.804166:0.909376:0.787265:0.766525:0.787265:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 ©:@0.079553:0.731952:0.079553:0.720342:0.061505:0.720342:0.061505:0.731952:0.000000:0.000000
maya:@0.080774:0.720340:0.080774:0.684191:0.055786:0.684191:0.055786:0.720340:0.000000:0.000000:0.000000:0.000000
®EDUCACIÓN – Libro resuelto solo para fines didácticos – Prohibida su reproducción :@0.079553:0.684192:0.079553:0.268045:0.061505:0.268045:0.061505:0.684192:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000